Vector Mesons and Dence Skyrmion Matter

Abstract

In our continuing effort to understand hadronic matter at high density, we have developed a unified field theoretic formalism for dense skyrmion matter using a single Lagrangian to describe simultaneously both matter and meson fluctuations and studied in-medium properties of hadrons. Dropping the quartic Skyrme term, we incorporate into our previous Lagrangian the vector mesons rho and omega in a form which is consistent with the symmetries of QCD. The results that we have obtained, reported here, expose a hitherto unsuspected puzzle associated with the role the omega meson plays at short distance. Since the omega meson couples to baryon density, it leads to a pseudo-gap scenario for the chiral symmetry phase transition, which is at variance with standard scenario of QCD at the phase transition. We find that in the presence of the omega mesons, the scale-anomaly dilaton field is prevented from developing a vanishing vacuum expectation value at the chiral restoration, as a consequence of which the in-medium pion decay constant does not vanish. This seems to indicate that the omega degree of freedom obstructs the vector manifestation which is considered to be a generic feature of effective field theories matched to QCD.

16 pages, 5 figures, references for Sec.5 added

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• The Role of the Dilaton in Dense Skyrmion Matter
• Dense baryonic matter in conformally-compensated hidden local symmetry: Vector manifestation and chiral symmetry restoration
• Skyrmions with vector mesons in the hidden local symmetry approach
• Skyrmions, Quantum Hall Droplets, and one current to rule them all
• Hidden Local Symmetry and Infinite Tower of Vector Mesons for Baryons
• Dilatons in Hidden Local Symmetry for Hadrons in Dense Matter
• The Inhomogeneous Phase of Dense Skyrmion Matter
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• Vector dominance, one flavored baryons, and QCD domain walls from the "hidden" Wess-Zumino term
• Scalar Pseudo-Nambu-Goldstone Boson in Nuclei and Dense Nuclear Matter
• Topology and emergent symmetries in dense compact star matter
• Scale-chiral symmetry, $\omega$ meson and dense baryonic matter
• Dominance of gluonic scale anomaly in confining pressure inside nucleon and D-term
• A study on relativistic lagrangian field theories with non-topological soliton solutions
• The half-skyrmion phase in a chiral-quark model
• Skyrmions at finite density and temperature: the chiral phase transition
• Hidden Local Symmetry and Dense Half-Skyrmion Matter
• Gravitational form factors of the nucleon in the Skyrme model based on scale-invariant chiral perturbation theory
• Skyrmions, half-skyrmions and nucleon mass in dense baryonic matter
• Topology change and nuclear symmetry energy in compact-star matter
• Effects of scalar mesons in a Skyrme model with hidden local symmetry
• Skyrmion crystals stabilized by $\omega$-mesons
• Neutral pion decay into $\nu \bar{\nu }$ in dense skyrmion matter
• Pentaquarks, Skyrmions and the Vector Manifestation of Chiral Symmetry
• Magnetic field effect on nuclear matter from skyrmion crystal model
• Cold Compressed Baryonic Matter with Hidden Local Symmetry and Holography
• Neutral pion decay in dense skyrmion matter
• Compressibility of dense nuclear matter in the $\rho$-meson variant of the Skyrme model
• The soliton-soliton interaction in the Chiral Dilaton Model
• Unified Approach to Dense Matter